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Finding the Fourth Proportional to 7,166.96, 10,737 and 4,236.56

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Solution

The fourth proportional to 7,166.96, 10,737 and 4,236.56 is: 6,346.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.96 : 10,737 = 4,236.56 : x
  2. Step 2: Convert to fraction form
    7,166.96/10,737 = 4,236.56/x
  3. Step 3: Cross multiply
    7,166.96x = 10,737 × 4,236.56
  4. Step 4: Simplify right side
    7,166.96x = 45,487,944.72
  5. Step 5: Solve for x
    x = 45,487,944.72/7,166.96
  6. Step 6: Final answer
    x = 6,346.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.